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Finding the Fourth Proportional to 105,217.20, 157,691.40 and 42,817.20

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Solution

The fourth proportional to 105,217.20, 157,691.40 and 42,817.20 is: 64,171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,217.20 : 157,691.40 = 42,817.20 : x
  2. Step 2: Convert to fraction form
    105,217.20/157,691.40 = 42,817.20/x
  3. Step 3: Cross multiply
    105,217.20x = 157,691.40 × 42,817.20
  4. Step 4: Simplify right side
    105,217.20x = 6,751,904,212.08
  5. Step 5: Solve for x
    x = 6,751,904,212.08/105,217.20
  6. Step 6: Final answer
    x = 64,171.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.